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Small aperture means that fainter objects are harder to see. Most bright objects are easy to see with 60mm. Planets, the moon, double stars, the brighter nebulae (eg M42, Eta Carina, NGC2070), many open clusters and the brightest galaxies are all possible. Just remember they will be faint, nothing like the images you see from Hubble and the imagers on this site!
A good start is to have a go at the Messiers, almost all of which will be possible with this scope.
With the eyepieces, what ones came with the scope? Usually my advice is not to go out buying more eyepieces until you have used the ones that came with the scope for a while and understand more of the strengths and weaknesses of EPs.
Cheers
Malcolm
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